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Finding the Third Proportional to 341,669 and 499,335

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Solution

The third proportional to 341,669 and 499,335 is: 729,757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,669 : 499,335 = 499,335 : x
  2. Step 2: Convert to fraction form
    341,669/499,335 = 499,335/x
  3. Step 3: Cross multiply
    341,669x = 499,335 × 499,335
  4. Step 4: Simplify right side
    341,669x = 249,335,442,225
  5. Step 5: Solve for x
    x = 249,335,442,225/341,669
  6. Step 6: Final answer
    x = 729,757.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.